Question

what is the acceleration of the cart at t=8 seconds?
a) 0 m/s^2
b) 10 m/s^2
c) 20 m/s^3
d) -20m/s^2​

Answer 1

Hi there!

The acceleration of an object is simply the instantaneous rate of change (slope) or derivative of its velocity function at a specific point in time.

At t = 8 sec, we can see that the velocity function is a horizontal line.

A horizontal line has a slope of 0, so the acceleration = A) 0 m/s².

**Not all graphs will be this easy! If trying to solve for acceleration for a line with a slope, the slope formula will need to be used, in that:

$a = \frac{v_2-v_1}{t_2-t_1}$

OR, if the acceleration varies:

$a(t) = v'(t)$

Answer 2

ANSWER:

What is the acceleration of the cart at t=8 seconds?

• a) 0 m/s^2
• b) 10 m/s^2
• c) 20 m/s^3
• d) -20m/s^2

Hence the answer us letter a) 0 m/s^2.

That's all I know, Hope it help :)